2(x+3)-6=-4(x-3)+30

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Solution for 2(x+3)-6=-4(x-3)+30 equation:


Simplifying
2(x + 3) + -6 = -4(x + -3) + 30

Reorder the terms:
2(3 + x) + -6 = -4(x + -3) + 30
(3 * 2 + x * 2) + -6 = -4(x + -3) + 30
(6 + 2x) + -6 = -4(x + -3) + 30

Reorder the terms:
6 + -6 + 2x = -4(x + -3) + 30

Combine like terms: 6 + -6 = 0
0 + 2x = -4(x + -3) + 30
2x = -4(x + -3) + 30

Reorder the terms:
2x = -4(-3 + x) + 30
2x = (-3 * -4 + x * -4) + 30
2x = (12 + -4x) + 30

Reorder the terms:
2x = 12 + 30 + -4x

Combine like terms: 12 + 30 = 42
2x = 42 + -4x

Solving
2x = 42 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
2x + 4x = 42 + -4x + 4x

Combine like terms: 2x + 4x = 6x
6x = 42 + -4x + 4x

Combine like terms: -4x + 4x = 0
6x = 42 + 0
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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